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Finding the Third Proportional to 306,448 and 475,611

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Solution

The third proportional to 306,448 and 475,611 is: 738,154.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,448 : 475,611 = 475,611 : x
  2. Step 2: Convert to fraction form
    306,448/475,611 = 475,611/x
  3. Step 3: Cross multiply
    306,448x = 475,611 × 475,611
  4. Step 4: Simplify right side
    306,448x = 226,205,823,321
  5. Step 5: Solve for x
    x = 226,205,823,321/306,448
  6. Step 6: Final answer
    x = 738,154.02

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.